Where did my simplification go wrong? Sum and difference formula simplificationI'm struggling with the following: We are to use the sum and difference formulas to find the exact value of the expression. The problem is simplification has been tough. As a last resort I decided to use Symbolab to find the answer and steps but the steps were not to be found. Despite lack of steps, the answer is ( 2 + 3 ) / 2Here are my steps so far: sin ⁡ ( 135 ∘ − 30 ∘ ) = ( sin ⁡ 135 ∘ cos ⁡ 30 ∘ ) − ( cos ⁡ 135 ∘ sin ⁡ 30 ∘ ) = ( 2 2 ) ( 3 2 ) − ( − 2 2 ) ( 1 2 ) = ( 6 4 ) − ( − 2 4 ) [insert final simplification step] ( 2 + 3 ) / 2What's the missing step here?

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Where did my simplification go wrong? Sum and difference formula simplificationI&#039;m struggling with the following: We are to use the sum and difference formulas to find the exact value of the expression. The problem is simplification has been tough. As a last resort I decided to use Symbolab to find the answer and steps but the steps were not to be found. Despite lack of steps, the answer is   (      2    +          3        )      /    2Here are my steps so far:                    sin        ⁡        (                  135          ∘                −                  30          ∘                )                            =        (        sin        ⁡                  135          ∘                cos        ⁡                  30          ∘                )        −        (        cos        ⁡                  135          ∘                sin        ⁡                  30          ∘                )                                          =                  (                                    2                        2                    )                          (                                    3                        2                    )                −                  (          −                                    2                        2                    )                          (                      1            2                    )                                                  =                  (                                    6                        4                    )                −                  (          −                                    2                        4                    )                    [insert final simplification step]  (      2    +          3        )      /    2What&#039;s the missing step here?

lilao8x · Accepted Answer

6                    4                −                  (          −                                    2                        4                    )                                    =                  1          4                (                  6                +                  2                )                                          =                              2                    4                (                  3                +        1        )                                          =                              2                    4                          (                      3                    +          1                      )            2                                                            =                              2                    4                          4          +          2                      3                                                            =                              2                    4                          2                          2          +                      3                                                            =                  1          2                          2          +                      3

Brunton39 · Accepted Answer

x  =                    6            +              2              4  ====================      x    2    =            6      +      2              12            +      2        16    =            8      +      2              12              16    =            8      +      4              3              16    =            2      +              3              4  ====================  x  =            2      +              3              2

Where did my simplification go wrong? Sum and difference formula simplification I'm struggling with

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